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78. GEOMETRY CONNECTION Part of the three- dimensional mathematical figure called the horn of Gabriel is shown. The area of the cross section (in the coordinate plane) of the horn is given by: 2 log e Approximate this area to three decimal places. A = 0.5 11 Ix y = -1/ X WAIVER XIN 03X1

78. GEOMETRY CONNECTION Part of the three- dimensional mathematical figure called the horn of Gabriel is shown. The area of the cross section (in the coordinate plane) of the horn is given by: 2 log e Approximate this area to three decimal places. A = 0.5 11 Ix y = -1/ X WAIVER XIN 03X1

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 70E: Ice skating The illustration shows three circles traced out by a figure skater during her...
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I need help with 78 and 80
S S arm If of air from der- along sult is h can .com 78. GEOMETRY CONNECTION Part of the three- dimensional mathematical figure called the horn of Gabriel is shown. The area of the cross section (in the coordinate plane) of the horn is given by: 2 log e Approximate this area to three decimal places. A = -0.5 y WAIVER EXI SEISMOLOGY In Exercises 79 and 80, use the following information. The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude R is given by the model R = 0.67 log (0.37E) + 1.46 where E is the energy (in kilowatt-hours) released by the earthquake. 79. Suppose an earthquake releases 15,500,000,000 kilowatt-hours of energy. What is the earthquake's magnitude? (Use a calculator.) 80. How many kilowatt-hours of energy would the earthquake in Exercise 79 have to release in order to increase its magnitude by one-half of a unit on the Richter scale? Use a graph to solve the problem. 81. TORNADOES Most tornadoes last less than an hour and travel less than 20 miles. The wind speed s (in miles per hour) near the center of a tornado is related to the distance d (in miles) the tornado travels by this model: s = 93 log d + 65 On March 18, 1925, a tornado whose wind speed was about 280 miles per hour struck the Midwest. Use a graph to estimate how far the tornado traveled. 8.4 Logarithmic Functions Pencil 491
Transcribed Image Text:S S arm If of air from der- along sult is h can .com 78. GEOMETRY CONNECTION Part of the three- dimensional mathematical figure called the horn of Gabriel is shown. The area of the cross section (in the coordinate plane) of the horn is given by: 2 log e Approximate this area to three decimal places. A = -0.5 y WAIVER EXI SEISMOLOGY In Exercises 79 and 80, use the following information. The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude R is given by the model R = 0.67 log (0.37E) + 1.46 where E is the energy (in kilowatt-hours) released by the earthquake. 79. Suppose an earthquake releases 15,500,000,000 kilowatt-hours of energy. What is the earthquake's magnitude? (Use a calculator.) 80. How many kilowatt-hours of energy would the earthquake in Exercise 79 have to release in order to increase its magnitude by one-half of a unit on the Richter scale? Use a graph to solve the problem. 81. TORNADOES Most tornadoes last less than an hour and travel less than 20 miles. The wind speed s (in miles per hour) near the center of a tornado is related to the distance d (in miles) the tornado travels by this model: s = 93 log d + 65 On March 18, 1925, a tornado whose wind speed was about 280 miles per hour struck the Midwest. Use a graph to estimate how far the tornado traveled. 8.4 Logarithmic Functions Pencil 491
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